What is 45/50 as a percentage?

This simple example of conversion of 45/50 as a percentage will help us to understand the steps well and learn the processes of the same. Here we will be learning about converting a fraction to a percentage. This is required when we need to express the value in real terms and understand the greatness of the quantity in terms of a hundred.

What is 45/50 as a percentage? 45/50 as a percentage is 90%

Basic concepts

1) The percentage is expressing a given numerical value in terms of hundred. In other words, it can be said that a percentage is a fraction of a hundred.
2) Hence if we say 78% we mean 78/100 or if we state 40% we 40/100.
3) We already know that the fraction is made of two parts, the numerator, and the denominator.
4) The numerator is present on top of the line of division and the denominator is present below the line of the fraction.
5) In this case, the numerator is 45 and the denominator is 50.

Calculation to show 45/50 as a percentage

Two different methods are available in the conversion of a fraction to a percentage.

Method #1

Step 1

Here you need to adjust the denominator such that there is a 100 below. In this case, you need to divide 100 by the given denominator to find the multiple.

Thus,

100÷50=2

    \[ \frac{100}{50}=2 \]

Step 2

Now with the multiple 2, you have to apply the process of multiplication and adjust both the numerator and the denominator. Now you multiply both the numerator and denominator by 2.

(45×2)/(50×2)= 90/100

    \[ \frac{(45\times2)}{(50\times2)}=\frac{90}{100} \]

Hence the required percentage will be 90%

45/50 as a percentage = 90%

Also read: What is 3/4 as a Decimal?

Method #2

The second method is where you need to convert the given fraction to decimals first.

Step 1

To do so, you have to divide the numerator by the denominator where the numerator acts as the dividend and the denominator is the divisor which is used to divide the numerator.

45÷50 = 0.9

Step 2

Now you need to multiply the obtained decimal with 100.

0.9×100=90%

Hence we could see that there are two different methods of conversion of a given fraction to its percentage form. Here we saw that when 45/50 was converted to a percentage, through both the methods we found the result as 90%.

Thus, it can be concluded that both the methods are valid and also very basic for you to understand. You need to practice the steps, again and again, to find the results of every fraction that gets converted to decimals.

Also read: What is 72 divided by 8 using long division?

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